Abundant Interaction Solutions of Sine-Gordon Equation by DaZhao Lü, YanYing Cui, ChangHe Liu, ShangWen Wu

“…With the help of computer symbolic computation software (e.g., Maple), abundant interaction solutions of sine-Gordon equation are obtained by means of a constructed Wronskian form expansion method. …”
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Modified Fractional Variational Iteration Method for Solving the Generalized Time-Space Fractional Schrödinger Equation by Baojian Hong, Dianchen Lu

“…With the help of symbolic computation, some approximate solutions and their iterative structure of the GFNLS are investigated. …”
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Symmetry Reductions of (2 + 1)-Dimensional CDGKS Equation and Its Reduced Lax Pairs by Na Lv, Xuegang Yuan, Jinzhi Wang

“…With the aid of symbolic computation, we obtain the symmetry transformations of the (2 + 1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation by Lou’s direct method which is based on Lax pairs. …”
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Physics Informed by Deep Learning: Numerical Solutions of Modified Korteweg-de Vries Equation by Yuexing Bai, Temuer Chaolu, Sudao Bilige

“…In this paper, with the aid of symbolic computation system Python and based on the deep neural network (DNN), automatic differentiation (AD), and limited-memory Broyden-Fletcher-Goldfarb-Shanno (L-BFGS) optimization algorithms, we discussed the modified Korteweg-de Vries (mkdv) equation to obtain numerical solutions. …”
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Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations by Fukang Yin, Junqiang Song, Xiaoqun Cao, Fengshun Lu

“…The main advantage of the new method is that it can avoid solving the nonlinear algebraic system and symbolic computation. Furthermore, the developed vector-matrix form makes it computationally efficient. …”
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Newfangled Linearization Formula of Certain Nonsymmetric Jacobi Polynomials: Numerical Treatment of Nonlinear Fisher’s Equation by W. M. Abd-Elhameed, Afnan Ali, Y. H. Youssri

“…The derivation of this formula is based on employing a new moment formula of this class of polynomials and after that using suitable symbolic computation to reduce the resulting linearization coefficients into simplified forms that do not contain any hypergeometric functions or sums. …”
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F-Expansion Method and New Exact Solutions of the Schrödinger-KdV Equation by Ali Filiz, Mehmet Ekici, Abdullah Sonmezoglu

“…With the aid of symbolic computation, we choose the Schrödinger-KdV equation with a source to illustrate the validity and advantages of the proposed method. …”
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Nonautonomous Motion Study on Accelerated and Decelerated Lump Waves for a (3 + 1)-Dimensional Generalized Shallow Water Wave Equation with Variable Coefficients by Wei-Qin Chen, Qing-Feng Guan, Chao-Fan Jiang, Fei-Fan Zhang, Lei Wang

“…The exact lump solutions of this equation are presented by virtue of its bilinear form and symbolic computation. Compared with the solutions of the previous cases, these solutions contain two inhomogeneous coefficients, which can show some interesting nonautonomous characteristics. …”
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A Symbolic Algorithm for Checking the Identifiability of a Time-Series Model by Guy Mélard 

“…It cannot be used in open-source symbolic computation software like GNU Octave and GNU Maxima. …”
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Groebner Bases Based Verification Solution for SystemVerilog Concurrent Assertions by Ning Zhou, Xinyan Gao, Jinzhao Wu, Jianchao Wei, Dakui Li

“…Case studies show that computer algebra can provide canonical symbolic representations for both assertions and circuit designs and can act as a novel solver engine from the viewpoint of symbolic computation.…”
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Lump Solutions and Resonance Stripe Solitons to the (2+1)-Dimensional Sawada-Kotera Equation by Xian Li, Yao Wang, Meidan Chen, Biao Li

“…Based on the symbolic computation, a class of lump solutions to the (2+1)-dimensional Sawada-Kotera (2DSK) equation is obtained through making use of its Hirota bilinear form and one positive quadratic function. …”
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A Computational Approach to the Perimeter-Area Inequality in a Triangle by Tomás Recio, Carlos Ueno, María Pilar Vélez

“…The main contribution of this work is to describe the challenges, and potential ways to approach their solutions, still posed by the use of such automated, symbolic computation, methods in dynamic geometry, in particular concerning the discovery of loci of points that satisfy specific geometric conditions, suggesting relevant improvements for the future development of these symbolic AI-based educational tools in geometry.…”
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Transcendentality of zeros of higher dereivatives of functions involving Bessel functions by Lee Lorch, Martin E. Muldoon

“…For most values of n, the proofs used the symbolic computation package Maple V (Release 1).…”
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Prediction of cold region dew volume based on an ECOA-BiTCN-BiLSTM hybrid model by Yi Zhang, Pengtao Liu, Yingying Xu, Meng Zhang

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Investigation of the new optical soliton solutions to the (2+1)-dimensional calogero-bogoyavlenskii schiff model by Sajawal Abbas Baloch, Muhammad Abbas, Muhammad Kashif Iqbal, Asnake Birhanu, M. R. Alharthi

“…Abstract In this work, we use the ansatz transformation functions to investigate different analytical rational solutions by symbolic computation. For the (2+1)-dimensional Calogero-Bogoyavlenskii Schiff (CBS) model, we derive a variety of rational solutions, such as homoclinic breather solutions (HBs), M-shaped rational solutions (MSRs), periodic cross-rationals (PCRs), multi-wave solutions (MWs), and kink cross-rational solutions (KCRs). …”
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Constructing meaningful code changes via graph transformer by Shikai Guo, Mengxuan Li, Xin Ge, Hui Li, Rong Chen, Tingting Li

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DLD: An Optimized Chinese Speech Recognition Model Based on Deep Learning by Hong Lei, Yue Xiao, Yanchun Liang, Dalin Li, Heow Pueh Lee

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Exact Solutions of Damped Improved Boussinesq Equations by Extended (G′/G)-Expansion Method by Kai Fan, Cunlong Zhou

“…In addition, the symbolic computing software maple makes our computing work easier.…”
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Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity by Adil Jhangeer, Abdallah M. Talafha, Ariana Abdul Rahimzai, Lubomír Říha

“…The accuracy of the derived solitons is validated through symbolic computations performed in Wolfram Mathematica, accompanied by graphical visualizations of the proposed solutions. …”
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Exp-Function Method for a Generalized MKdV Equation by Yuzhen Chai, Tingting Jia, Huiqin Hao, Jianwen Zhang

“…By figures and symbolic computations, we have discussed the propagation characteristics of those solitons under different values of those coefficients in the generalized MKdV equation. …”
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